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1. von Neumann Versus Shannon Entropy
1. von Neumann Versus Shannon Entropy

A generalized entropy measuring quantum localization
A generalized entropy measuring quantum localization

Holographic quantum error-correcting code
Holographic quantum error-correcting code

Liquid State NMR Quantum Computing
Liquid State NMR Quantum Computing

... Obviously, this is true only so long as the coherent superposition states are preserved throughout the computation. This means that the computation should be completed before quantum coherence is lost due to “decoherence” processes (in NMR, spin–spin and spin-lattice relaxation; see Relaxation: An I ...
Cabello`s nonlocality for generalized three
Cabello`s nonlocality for generalized three

... product of the measurement outcomes of the observables X1 , Y2 , and Z3 . Indeed, both probability distributions (23) and (24) pertain to the only class of extremal two-way local correlations that are not fully local [15], which means that such correlations can be accounted for by a hybrid hidden va ...
Braid Topologies for Quantum Computation
Braid Topologies for Quantum Computation

Detected-jump-error-correcting quantum codes - IAP TU
Detected-jump-error-correcting quantum codes - IAP TU

... quantum codes which are capable of stabilizing distinguishable qubits against spontaneous decay processes into statistically independent reservoirs 关12兴. These codes are constructed by embedding an active error-correcting code in a passive code space and by exploiting information available on error ...
as a PDF
as a PDF

... classical version of this element is clearly not unitary. It doesn’t have as many outputs as inputs, so it can’t be reversible. It’s easy to see that even adding a third output isn’t enough to make the full adder reversible. The truth table for the classical full adder (see above) has 3 inputs which ...
Topological order at finite temperature?
Topological order at finite temperature?

It is natural to think of quantum computations as multiparticle
It is natural to think of quantum computations as multiparticle

... It is known that the dimensions of the physical system needed to encode a bit of information are becoming smaller and smaller, going towards the dimensions of a single atom. At atomic scale the laws of quantum mechanics govern the behaviour of physical systems. It turns out that quantum systems used ...
Physical Limits of Computing
Physical Limits of Computing

Rapid readout of a register of qubits using open loop... Joshua Combes , Aaron Denney , and Howard M. Wiseman
Rapid readout of a register of qubits using open loop... Joshua Combes , Aaron Denney , and Howard M. Wiseman

Information Theory and Machine Learning
Information Theory and Machine Learning

... When we wish to communicate with somebody we generally need to do so over an imperfect channel, be it a crackling telephone line, a noisy room or even just an unreliable internet connection. The channel will usually add noise to whatever we are saying/sending and so we need to protect against this. ...
Efficient generation of a maximally entangled state by
Efficient generation of a maximally entangled state by

... References ...
Chapter 4 Quantum Entanglement
Chapter 4 Quantum Entanglement

Entropy density of quasifree states supported by left/right movers
Entropy density of quasifree states supported by left/right movers

... (Nonvanishing density) Any strictly positive temperature in the system leads to a nonvanishing asymptotic entropy density. This is due to the fact, that, in such a case, the Toeplitz symbol ia has at least one eigenvalue with modulus strictly smaller than 1. (Strong subadditivity) The existence of a ...
Quantum Associative Memory
Quantum Associative Memory

Chapter 2 Foundations I: States and Ensembles
Chapter 2 Foundations I: States and Ensembles

Quantum Computing Using Linear Optics
Quantum Computing Using Linear Optics

COPYRIGHT 2002 SCIENTIFIC AMERICAN, INC.
COPYRIGHT 2002 SCIENTIFIC AMERICAN, INC.

... Likewise, a qubit is described by its quantum state. Two possible quantum states for a qubit correspond to the 0 and 1 of a classical bit. In quantum mechanics, however, any object that has two different states necessarily has a range of other possible states, called superpositions, which entail bot ...
D-Wave quantum computer
D-Wave quantum computer

Quantum computing: An IBM perspective
Quantum computing: An IBM perspective

Fault-Tolerant Quantum Computation and the Threshold Theorem
Fault-Tolerant Quantum Computation and the Threshold Theorem

Rewriting measurement-based quantum computations with
Rewriting measurement-based quantum computations with

... The problem of producing a circuit equivalent to a given measurement-based quantum computation is of great importance. In [8], an automated translation has been proposed for measurement-based computations which have a causal flow. In [9], the author presents a similar technique based on causal flow ...
Triple to quintuple quantum dots for making multiple qubits
Triple to quintuple quantum dots for making multiple qubits

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Algorithmic cooling

Algorithmic cooling is a phenomenon in quantum computation in which the processing of certain types of computation results in negative entropy and thus a cooling effect.The phenomenon is a result of the connection between thermodynamics and information theory. In so far as information is encoded in physical systems it is subject to the laws of thermodynamics.Certain processes within computation require a change in entropy within the computing system. As data must be stored as some kind of ordered structure (like a localized charge in a capacitor) so the erasure of data by destroying this order must involve an increase in disorder, or entropy. This means that the erasure of data releases heat. This is Landauer's principle.Reversible computing or Adiabatic computing is a theoretical type of computing in which data is never erased, it just changes state or is marked to be ignored. In theory such a system would be able to ""hide"" data without releasing heat.In the case of quantum entangled data, or qubits, it is possible for a computation to result in negative entropy, actually transferring heat out of the computational system, and so cooling it.
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